This article illuminates how faculty translate professional development around contextualized math instruction into teaching practice, and offers practical recommendations for those embarking upon similar curricular reform efforts at community colleges.

The Calculus Concept Inventory (CCI), Epstein (2013) aims to test the understanding of calculus ideas, rather than ability to perform calculations. In this paper the CCI is used to measure the effect of the undergraduate calculus cohort over the understanding of calculus in a heterogeneous population including recipients of the program Ser Pilo…

Creativity plays an important role in mathematics, but it can be overlooked in undergraduate courses. This article describes three ways an existing first-year math seminar was modified to increase its focus on creativity: introducing readings and discussions related to creativity, drawing connections to creativity in other disciplines, and adding…

In the mathematical community, two notions of "function" are used: the set-theoretic definition as a univalent set of ordered pairs, and the Bourbaki triple. These definitions entail different interpretations and answers to mathematical questions that even a secondary student might be prompted to answer. However, mathematicians and…

Of the many disciplines that rely on calculus, physics is among those with the strongest connections to this branch of mathematics. For instance, the derivative--one of the key notions of calculus--is used to describe velocity and acceleration, which play a central role in mechanics. In post-secondary education, in particular at the college level,…

This study aims to address the teaching of integrals in multivariable calculus concerning the role taken by geometry, specifically, geometrical content dealing with boundaries in integrals that appear as curves and surfaces in R[superscript 2] and R[superscript 3]. Adopting the framework of the Anthropological Theory of the Didactic, we approached…

LEGO® stop-motion animations were developed to engage first-year university students in the topics of matrices, vectors, linear geometry and linear transformations. LEGO® provided a versatile medium through which a wide range of concrete and abstract concepts could be physically demonstrated in both two and three dimensions. It was also familiar…

The purpose of this study was to analyze the need to develop a teaching material needed in mathematics statistics lectures I. This study used a qualitative descriptive method oriented to the development of a product. The subjects of this study were fourth semester mathematics education students who were taking mathematics statistics course I and…

In this article special sequences involving the Butterfly theorem are defined. The Butterfly theorem states that if M is the midpoint of a chord PQ of a circle, then following some definite instructions, it is possible to get two other points X and Y on PQ, such that M is also the midpoint of the segment XY. The convergence investigation of those…

This study evaluates the impact of distance learning in the teaching-learning process of mathematics in Higher Technical Professional courses. The results reveal that a positive evaluation of the functioning of the online support platform, as well as a positive attitude of teachers and students, has a positive impact on the evaluation of the…

This study investigates the effects of WhatsApp social media learning group in the teaching and learning of mathematics with first year underprepared university students. The study was undertaken using a quantitative research method. It employed a randomised post-test-only with a non-equivalent groups design to investigate if there is a…

Nonlinear equations are usually solved numerically. However, approximated analytical solutions of nonlinear equations are useful as an initial iteration point for numerical methods. Furthermore, these analytical approximations are sometimes quite close to the actual root. In order to teach at undergraduate level how to perform this kind of…

In this paper, we invite the reader to think deeply about professional development opportunities for faculty. The focus of this professional development is to improve teaching and learning by including more inquiry in the mathematics classroom. Building on theories of teaching and learning, we develop the idea of "teaching procedures"…

Based on our work teaching undergraduate Calculus courses, we offer insight into teaching the chain rule to reduce cognitive load for students. A particularly difficult topic for students to grasp, problems likely arise due to student struggles with the concept of function and, particularly, function composition relative to when they first…

This article reports on a study of academic experiences and outcomes for a sample of 1,346 freshman students who completed a virtually taught first-year mathematics course during the fall 2020 semester. Overall student achievement during the fall 2020 semester, during which courses were taught in a virtual modality, remained at the same level as…